논문KCI 등재
The Bergman kernel function and the Szeg\H o kernel function
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Abstract
We compute the holomorphic derivative of the harmonic measure associated to a $C^\infty$ bounded domain in the plane and show that the exact Bergman kernel function associated to a $C^\infty$ bounded domain in the plane relates the derivatives of the Ahlfors map and the Szeg\H o kernel in an {\it explicit} way. We find several formulas for the exact Bergman kernel and the Szeg\H o kernel and the harmonic measure. Finally we survey some other properties of the holomorphic derivative of the harmonic measure.
참고문헌 (12)
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- "\it The Bergman kernel function and the Ahlforsmapping in the plane}", pp.1339~ (1993), Indiana Univ. Math. J.
- "it An expression of the Bergman kernel function interms of the Szeg\H o kernel", pp.1~ (1996), Anexpression
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관련 논문AI추천
The formula for the singularity of Szeg\＂o kernel : IMasatake Kuranishi대한수학회 · 대한수학회지2003 · 제40권 제4호Estimates of the Bergman kernel function on pseudoconvex domains with comparable Levi form조상현대한수학회 · 대한수학회지2002 · 제39권 제3호Berezin transforms and Toeplitz operators on the weighted Bergman spaces of the half-plane강시호대한수학회 · 대한수학회보2007 · 제44권 제2호Notes on the Bergman projection type operator in $\Bbb C^n$최기성대한수학회 · 대한수학회논문집2006 · 제21권 제1호The radial derivatives on weighted Bergman spacesJa Young Kim, Si Ho Kang대한수학회 · 대한수학회논문집2003 · 제18권 제2호Some duality of weighted Bergman spaces of the half-plane강시호대한수학회 · 대한수학회보2005 · 제42권 제2호
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